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Finding the Fourth Proportional to 18,765.12, 25,892.82 and 10,380

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Solution

The fourth proportional to 18,765.12, 25,892.82 and 10,380 is: 14,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,765.12 : 25,892.82 = 10,380 : x
  2. Step 2: Convert to fraction form
    18,765.12/25,892.82 = 10,380/x
  3. Step 3: Cross multiply
    18,765.12x = 25,892.82 × 10,380
  4. Step 4: Simplify right side
    18,765.12x = 268,767,471.60
  5. Step 5: Solve for x
    x = 268,767,471.60/18,765.12
  6. Step 6: Final answer
    x = 14,322.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.